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math.PR2022★ 2 cited

Nonlinear Fokker-Planck equations with fractional Laplacian and McKean-Vlasov SDEs with Lévy-Noise

Viorel Barbu, Michael Röckner

This work is concerned with the existence of mild solutions to non-linear Fokker-Planck equations with fractional Laplace operator for . The un…

math.PR2019

Uniqueness for nonlinear Fokker-Planck equations and weak uniqueness for McKean-Vlasov SDEs

Viorel Barbu, Michael Röckner

One proves the uniqueness of distributional solutions to nonlinear Fokker--Planck equations with monotone diffusion term and derive as a consequence (restricted) uniqueness in law…

math.PR2019

Strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients

Wei Liu, Michael Röckner, Xiaobin Sun +1

This paper is devoted to proving the strong averaging principle for slow-fast stochastic partial differential equations with locally monotone coefficients, where the slow component…